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Copula function’s concentration set and its concentrated partition
Copula function local correlation structure concentration set concentration measure
2016/1/20
The research on the local correlation structure of copula function is an attractive topic.This paper investigates bivariate copula function’s local correlation structure by defining its concentration ...
CLOSED EXPRESSIONS FOR AVERAGES OF SET PARTITION STATISTICS
Points theory triangular matrix the mean linear transfer fluid
2015/7/7
In studying the enumerative theory of super characters of the group of upper triangular matrices over a finite field we found that the moments (mean, variance and
higher moments) of novel...
CENTRAL LIMIT THEOREMS FOR SOME SET PARTITION STATISTICS
Parameters random limit theorem dimension index level
2015/7/7
We prove the conjectured limiting normality for the number of crossings of a uniformly chosen set partition of [n] = f1;2; : : : ; ng. The arguments use a novel stochastic representation and are also ...
Koszul duality of operads and homology of partition posets
Koszul duality operads homology partition posets
2015/3/25
We consider partitions of a set with r elements ordered by refinement. We consider the simplicial complex Kˉ(r) formed by chains of partitions which starts at the smallest element and ends at the larg...
An Explicit Formulation for Two Dimensional Vector Partition Functions
An Explicit Formulation Two Dimensional Vector Partition Functions
2012/8/7
In this paper, an explicit formulation for two dimensional multi-
variate truncated power functions is presented, and a simpli痚d explicit for-
mulation for two dimensional vector partition functions...
Partition Identities for Ramanujan's Third Order Mock Theta Functions
mock theta function Ramanujan's identities partition identity Fine's theorem involution
2014/6/3
We find two involutions on partitions that lead to partition identities for Ramanujan's third order mock theta functions φ(-q) and ψ(-q). We also give an involution for Fine's partition identity on th...
Euler's Partition Theorem with Upper Bounds on Multiplicities
partition Euler's partition theorem Sylvester's bijection
2014/6/3
We show that the number of partitions of n with alternating sum k such that the multiplicity of each part is bounded by 2m + 1 equals the number of partitions of n with k odd parts such that the multi...
Octanol-water partition coefficients (Kow) vs. pH for fluorescent dye tracers (fluorescein, eosin Y), and implications for hydrologic tracer tests
fluorescein eosin Y tracer octanol-water retardation
2017/4/11
Values of the octanol-water partition coefficient (Kow) have been measured vs. pH for two fluorescent dyes (fluorescein,
eosin Y) commonly used in hydrologic tracer tests. Values for both fluorescent...
Partition Reduction for Lossy Data Compression Problem
Partition Reduction Lossy Data Compression Problem Information Theory
2012/4/17
We consider the computational aspects of lossy data compression problem, where the compression error is determined by a cover of the data space. We propose an algorithm which reduces the number of par...
Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end
The six-vertex model Open spin chain Partition function
2011/9/22
Abstract: With the help of the F-basis provided by the Drinfeld twist or factorizing F-matrix for the open XXZ spin chain with non-diagonal boundary terms, we obtain the determinant representation of ...
A consistent Markov partition process generated from the paintbox process
paintbox process Ewens partition Poisson-Dirichlet distribution partition process
2011/9/5
Abstract: We study a family of Markov processes on $\mathcal{P}^{(k)}$, the space of partitions of the natural numbers with at most $k$ blocks. The process can be constructed from a Poisson point proc...
Spanning trees and expansions for the Potts model partition function in an external field
Tutte polynomial Potts model spanning trees V -polynomial external field Hamiltonian edge activities
2011/9/5
Abstract: We use a deletion-contraction relation for the variable field Potts model partition function to give an expansion of the variable field Potts model partition function in terms of the zero fi...
Partition function of 1-, 2-, and 3-D monatomic ideal gas: A simple and comprehensive review
statistical physics, partition function, monatomic ideal gas
2011/8/30
This article discusses partition function of monatomic ideal gas which is given in Statistical Physisc at Physics Department,Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, In...
Charged Particle Motion in a Plasma: Electron-Ion Energy Partition
Charged Particle Motion Electron-Ion Energy Partition
2011/8/31
A fast charged particle traversing a plasma loses its energy to both the electrons and the ions in the plasma. We compute the energy partition, the fractions Ee/E0 and EI/E0 of the initial energy E0 o...
Thinning Invariant Partition Structures
partition structure Poisson-Kingman partition structure spin glass
2011/7/27
Abstract: A partition structure is a random point process on $[0,1]$ whose points sum to 1, almost surely. In the case that there are infinitely many points to begin with, we consider a thinning actio...